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Finding the Fourth Proportional to 6,142.60, 9,205.80 and 4,409.20

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Solution

The fourth proportional to 6,142.60, 9,205.80 and 4,409.20 is: 6,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.60 : 9,205.80 = 4,409.20 : x
  2. Step 2: Convert to fraction form
    6,142.60/9,205.80 = 4,409.20/x
  3. Step 3: Cross multiply
    6,142.60x = 9,205.80 × 4,409.20
  4. Step 4: Simplify right side
    6,142.60x = 40,590,213.36
  5. Step 5: Solve for x
    x = 40,590,213.36/6,142.60
  6. Step 6: Final answer
    x = 6,607.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.